Motion of a particle in x - y plane is described by a set of following equations x = 4 sin π 2 - ω t m and y = 4 sin ω t m . The path of the particle will be

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x = 4 sin π 2 - ω t = 4 cos ω t , y = 4 sin ω t Clearly, x 2 + y 2 = 4 cos ω t 2 + 4 sin ω t 2 ⇒ x 2 + y 2 = 16 Hence, the path covered by particle is a circle.

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